Question

Identify the most appropriate test to use for the following situation: Quart cartons of milk should contain at least 32 ounces. A sample of 22 cartons was taken and amount of milk in ounces was recorded. We would like to determine if there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces

Answer 1

One sample left tailed t-test

Explanation:

Solution:-

- We see that the population standard deviation is not given to us. Then we are to perform our hypothesis based on t-statistics.

- The sample size of n = 22 cartons is taken. So the parameter in evaluating the t-critical value would be:

Degree of freedom df = n - 1 = 22 - 1 = 21

Significance level = α

- Next determine the type of T-test required. Since we are to determine the evidence for mean amount of milk in cartons is less than 32 ounces. It is a one tailed test ( Rejection region ).

- The hypothesis to be stated would be:

Null hypothesis : μ = 32

Alternate hypothesis : μ < 32